Energy Efficiency of Gas Separation Pressure Swing Adsorption

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Energy Efficiency of Gas Separation Pressure Swing Adsorption ( energy-efficiency-gas-separation-pressure-swing-adsorption )

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When a bed with uniform initial mole fraction y = 0 is depressurized, there are no moles of the heavy component to be desorbed, so the mole fraction remains zero. This is shown in Figure A.3(b). For this case, Equation (A.17) is simplified and has an analytical solution: (A.19) The third case considered is the work done by the system in pressurizing an adsorbent bed from PL to PH from a reservoir at Px. This is found exactly the same way as the work of depressurization, but with the limits of Equation (A.17) reversed. ff W= In -1-P,InL -1 VJLJPB -eVB ln|^ dP P,PB[l +(p-l)y] ^PxX' As our reservoir has mole fraction y = 0, the above equation reduces to: This expression integrates to: f\f\ w =PL In(PL] -1 ~PH In 1 H -1 VJVJPB (A.20) (All) (A.ll) fP„-£VR , dP W= \ -In ^ PB yPx) Jp, If Px = PH, as it does when pressurizing the bed in the Four-Step cycle, this equation reduces to: (A.13) f fpL} In 1 -l PH+PL VJ 155

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